hi im struggling

Question

if two bags of flour have a total weight of 27 lb of 1 lb is added to the heavier bag and 1 lb is removed from the lighter bag the heavier bag will weigh twice as much as the lighter bag what does the heavy bag weigh?

Answer 1

x represents the weight of the heavier

27 - x represents the weight of the lighter

x + 1 = 2(27 - x - 1)

Can you solve for x and answer?

Answer 2

Let's represent this problem with algebraic expressions where x is the lighter bag and y is the heavier bag:

x + y = 27

2(x -1) = (y + 1)

We could solve by substitution or elimination using:

x + y = 27 --> y = 27 - x and 2(x -1) = (y + 1)

2(x - 1) = (27 - x) + 1

2x - 2 = 28 - x

3x = 30

x = 10

Given x = 10, y = 27 - 10 = 17.

The heavier bag weighs 17 lbs.